82052016 has 40 divisors (see below), whose sum is σ = 212330160. Its totient is φ = 27303936.

The previous prime is 82051999. The next prime is 82052021. The reversal of 82052016 is 61025028.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37776 + ... + 39888.

It is an arithmetic number, because the mean of its divisors is an integer number (5308254).

Almost surely, 2^82052016 is an apocalyptic number.

It is an amenable number.

82052016 is an abundant number, since it is smaller than the sum of its proper divisors (130278144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82052016 is a wasteful number, since it uses less digits than its factorization.

82052016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 82052016 is about 9058.2567859385. The cubic root of 82052016 is about 434.5399919844.

The spelling of 82052016 in words is "eighty-two million, fifty-two thousand, sixteen".